(Solution) - According to a Gallup Poll companies with employees who are -(2025 Original AI-Free Solution)

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According to a Gallup Poll, companies with employees who are engaged with their workplace have greater innovation, productivity, and profitability, as well as less employee turnover. A survey of 1,895 workers in Germany found that 13% of the workers were engaged, 67% were not engaged, and 20% were actively disengaged. The survey also noted that 48% of engaged workers strongly agreed with the statement "My current job brings out my most creative ideas." Only 20% of the not engaged workers and 3% of the actively disengaged workers agreed with this statement (data extracted from M. Nink, "Employee Disengagement Plagues Germany," Gallup Management Journal, gmj.gallup.com, April 9, 2009). If a worker is known to strongly agree with the statement "My current job brings out my most creative ideas," what is the probability that the worker is engaged?